Pith Number

pith:GEBK5H5L

pith:2024:GEBK5H5L7AF5CZTXG5DHVUBCXY

not attested not anchored not stored refs pending

Existence and local asymptotics for a system of cross-diffusion equations with nonlocal Cahn-Hilliard terms

Elisa Davoli, Greta Marino, Jan-Frederik Pietschmann

arxiv:2408.07396 v2 · 2024-08-14 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEBK5H5L7AF5CZTXG5DHVUBCXY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-22T01:03:40.030964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3102ae9fabf80bd1667737467ad022be16b44cd635534cc5b9383555a602ee8c

Aliases

arxiv: 2408.07396 · arxiv_version: 2408.07396v2 · doi: 10.48550/arxiv.2408.07396 · pith_short_12: GEBK5H5L7AF5 · pith_short_16: GEBK5H5L7AF5CZTX · pith_short_8: GEBK5H5L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GEBK5H5L7AF5CZTXG5DHVUBCXY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3102ae9fabf80bd1667737467ad022be16b44cd635534cc5b9383555a602ee8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c366e6ecca7577d8c25706ee6876e65ae6d6af8059b8664b9b6aa1de8dcd201e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-14T09:16:22Z",
    "title_canon_sha256": "f6398c18bba668d8216b1426db658503cc8dfd2d5597f89736c1a5040191b587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.07396",
    "kind": "arxiv",
    "version": 2
  }
}